Might be another world, even...
As for the Talosian hacking, that would raise the question, how does one hack a computer that is (as far as I can tell) primarily analog? I mean, how could the Talosians run through "all" the tapes if one has to physically insert the tapes into the computer to view the data?
Sounds like they'd do just that! If there's something they can't access, they tell Spock to play it for them, and he complies, while dreaming that he is trying to stop the hacking.
Although it doesn't seem as if any of this stuff usually is on those portable memory squares; Spock can call it up simply by pressing keys on his console. The data cartridges in the episodes seem to carry data pertinent to specific scans or other temporary things, just as one would expect today.
On the issue of UFP Council representatives, have we ever heard of such a character? T'Pau turned down a seat there, and Bajorans were supposed to select reps (in an unspecified manner - probably, they ask the Prophets to choose!), but has any named or otherwise identified character actually been
a UFP Council Member?